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Finding the Fourth Proportional to 11,802.65, 16,287.02 and 6,766.62

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Solution

The fourth proportional to 11,802.65, 16,287.02 and 6,766.62 is: 9,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.65 : 16,287.02 = 6,766.62 : x
  2. Step 2: Convert to fraction form
    11,802.65/16,287.02 = 6,766.62/x
  3. Step 3: Cross multiply
    11,802.65x = 16,287.02 × 6,766.62
  4. Step 4: Simplify right side
    11,802.65x = 110,208,041.44
  5. Step 5: Solve for x
    x = 110,208,041.44/11,802.65
  6. Step 6: Final answer
    x = 9,337.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.